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3 years ago

Can anybody help me with my homework please. and explain me how to got the answer. Thanks

Mathematics

1 answer:

natka813 [3]3 years ago

8 0

In the problems A-F, You multiply each of the numbers by itself. Like 9²=9×9=81

3³=3×3×3=27 6³=6×6×6=216 and so on for the other problems

G-I is 36=6² 100=10² and so on the cube is the same except you multiply the number three times by itself. I hope this helped a bit. Just ask if you still don't understand.

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In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago

Three consecutive integers can be represented by the variable n, n+1 and n+2. If the sum of three consecutive integers is 57, wh

pashok25 [27]

You have some unknown integer $n$ , and you know that adding this and the next two integers, $n+1$ and $n+2$ , gives a total of 57.

This means

$n+(n+1)+(n+2)=57$

The task is to find all three unknown integers. Notice that if you know the value of $n$ , then you pretty much know the value of the other three integers.

To find $n$ , solve the equation above:

$n+(n+1)+(n+2)=3n+3=57\implies 3n=54\implies n=\dfrac{54}3=18$

So if 18 is the first integer, then others must be 19 and 20.

7 0

3 years ago

Read 2 more answers

∠rst and ∠vst are a linear pair, m∠rst = 3x 7, and m∠vst = 9x 17. what are the measures of m∠rst and m∠vst?a.46, 134b.26, 154c.5

sergij07 [2.7K]

M∠ rst + m∠ vst = 180°
3 x + 7° + 9 x + 17° = 180°
12 x + 24° = 180°
12 x= 180° - 24°
12 x = 156°
x = 156° : 12
x = 13°
m ∠ rst = 3 · 13° + 7° = 39° + 7° = 46°
m ∠ vst = 180° - 46° = 134°
Answer:
A ) 46° and 134°

6 0

3 years ago

Please help asap 20 pts

makkiz [27]

Answer:

Step-by-step explanation:

For it to be parallel, the lines must have the same slope. So A and C are out. Basic math reveals that if you plug in (1, 8) for <em>(x, y)</em> you find B to be true.

3 0

3 years ago

Use the following table to find the Rate of Change.

ELEN [110]

Answer:

x=1 and y= 6

Step-by-step explanation:

and for y its a positive cause their both negitives

3 0

3 years ago